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Weakly Regular Sets

Yıl 2013, Cilt: 4 , 1 - 8, 19.03.2014

Öz

We consider the concept of weakly regular set in complex plane and in complex half-plane. It is proved that such sets are interpolation sets.

Kaynakça

  • Levin, B.Ya., Distribution of Zeros of Entire Functions, English revised edition Amer. Math. Soc, Providence, RI, 523pp. MR 81k:30011, 1980.
  • Leont'ev, A.F., Ryady e'ksponent Nauka, (Russian), 1976.
  • Firsakova, A.F., Some questions of interpolation with help of entire functions, Dokl. Akad. Nauk SSSR, 120, 3 (1958), 477{480. (Russian)
  • Uen, N.T., Interpolation problems in half-plane in the class of analytic functions of nite order and normal type, Teoria funksii, functional. Anal. i Prilozhen., 24 (1975), 106{127. (Russian)
  • Grishin, A.F., About sets of regular growth of entire functions, Teoria funksii, functional. Anal. i Prilozhen., 44 (1984), 32{42. (Russian)
  • Malyutin, K.G., On sets of regular growth of functions in a half-plane, I, Izvestija: Mathematics, 59, 4 (1995), 785{814.
  • Malyutin, K.G., On sets of regular growth of functions in a half-plane, I, Izvestija: Mathematics, 59, 5 (1995), 983{1006.
  • Malyutin, K.G., Interpolation by holomorphic functions, Thesis for the degree of Candidate of Physics and Mathematics, Kharkov, 1980.
  • Govorov, N.V., Riemann's Boundary Problem With Innite Index, Moskva: Nauka, 1986.
  • Grishin, A.F., Subharmonic functions of nite order, Thesis for the degree of Doctor of Physics and Mathematics, Kharkov, 1992.
  • Malyutin, K.G., The problem of multiple interpolation in the half-plane in the class, Russian Acad. Sci. Sb. Math., 78, 1 (1994), 253{266.
Yıl 2013, Cilt: 4 , 1 - 8, 19.03.2014

Öz

Kaynakça

  • Levin, B.Ya., Distribution of Zeros of Entire Functions, English revised edition Amer. Math. Soc, Providence, RI, 523pp. MR 81k:30011, 1980.
  • Leont'ev, A.F., Ryady e'ksponent Nauka, (Russian), 1976.
  • Firsakova, A.F., Some questions of interpolation with help of entire functions, Dokl. Akad. Nauk SSSR, 120, 3 (1958), 477{480. (Russian)
  • Uen, N.T., Interpolation problems in half-plane in the class of analytic functions of nite order and normal type, Teoria funksii, functional. Anal. i Prilozhen., 24 (1975), 106{127. (Russian)
  • Grishin, A.F., About sets of regular growth of entire functions, Teoria funksii, functional. Anal. i Prilozhen., 44 (1984), 32{42. (Russian)
  • Malyutin, K.G., On sets of regular growth of functions in a half-plane, I, Izvestija: Mathematics, 59, 4 (1995), 785{814.
  • Malyutin, K.G., On sets of regular growth of functions in a half-plane, I, Izvestija: Mathematics, 59, 5 (1995), 983{1006.
  • Malyutin, K.G., Interpolation by holomorphic functions, Thesis for the degree of Candidate of Physics and Mathematics, Kharkov, 1980.
  • Govorov, N.V., Riemann's Boundary Problem With Innite Index, Moskva: Nauka, 1986.
  • Grishin, A.F., Subharmonic functions of nite order, Thesis for the degree of Doctor of Physics and Mathematics, Kharkov, 1992.
  • Malyutin, K.G., The problem of multiple interpolation in the half-plane in the class, Russian Acad. Sci. Sb. Math., 78, 1 (1994), 253{266.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Matematik
Yazarlar

Konstantin Malyutin Bu kişi benim

Oksana Bozhenko Bu kişi benim

Yayımlanma Tarihi 19 Mart 2014
Yayımlandığı Sayı Yıl 2013 Cilt: 4

Kaynak Göster

APA Malyutin, K., & Bozhenko, O. (2014). Weakly Regular Sets. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, 4, 1-8.
AMA Malyutin K, Bozhenko O. Weakly Regular Sets. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. Mart 2014;4:1-8.
Chicago Malyutin, Konstantin, ve Oksana Bozhenko. “Weakly Regular Sets”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 4, Mart (Mart 2014): 1-8.
EndNote Malyutin K, Bozhenko O (01 Mart 2014) Weakly Regular Sets. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 4 1–8.
IEEE K. Malyutin ve O. Bozhenko, “Weakly Regular Sets”, İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, c. 4, ss. 1–8, 2014.
ISNAD Malyutin, Konstantin - Bozhenko, Oksana. “Weakly Regular Sets”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 4 (Mart 2014), 1-8.
JAMA Malyutin K, Bozhenko O. Weakly Regular Sets. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2014;4:1–8.
MLA Malyutin, Konstantin ve Oksana Bozhenko. “Weakly Regular Sets”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, c. 4, 2014, ss. 1-8.
Vancouver Malyutin K, Bozhenko O. Weakly Regular Sets. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2014;4:1-8.